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Finding the Third Proportional to 1,280 and 2,656

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Solution

The third proportional to 1,280 and 2,656 is: 5,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280 : 2,656 = 2,656 : x
  2. Step 2: Convert to fraction form
    1,280/2,656 = 2,656/x
  3. Step 3: Cross multiply
    1,280x = 2,656 × 2,656
  4. Step 4: Simplify right side
    1,280x = 7,054,336
  5. Step 5: Solve for x
    x = 7,054,336/1,280
  6. Step 6: Final answer
    x = 5,511.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.